# 12 22 29 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 22   c = 29

Area: T = 120.7832604294
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 22.24987765252° = 22°14'56″ = 0.38883144049 rad
Angle ∠ B = β = 43.96597525293° = 43°57'35″ = 0.767724242 rad
Angle ∠ C = γ = 113.7911470945° = 113°47'29″ = 1.98660358287 rad

Height: ha = 20.1330434049
Height: hb = 10.9880236754
Height: hc = 8.33298347789

Median: ma = 25.03299820216
Median: mb = 19.27443352674
Median: mc = 10.18657743937

Inradius: r = 3.83443683903
Circumradius: R = 15.84766528453

Vertex coordinates: A[29; 0] B[0; 0] C[8.63879310345; 8.33298347789]
Centroid: CG[12.54659770115; 2.7776611593]
Coordinates of the circumscribed circle: U[14.5; -6.39326838183]
Coordinates of the inscribed circle: I[9.5; 3.83443683903]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.7511223475° = 157°45'4″ = 0.38883144049 rad
∠ B' = β' = 136.0440247471° = 136°2'25″ = 0.767724242 rad
∠ C' = γ' = 66.20985290545° = 66°12'31″ = 1.98660358287 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.